133216970121 has 27 divisors (see below), whose sum is σ = 194753346151. Its totient is φ = 87749195424.

The previous prime is 133216970083. The next prime is 133216970123. The reversal of 133216970121 is 121079612331.

The square root of 133216970121 is 364989.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25580483721 + 107636486400 = 159939^2 + 328080^2 .

It is not a de Polignac number, because 133216970121 - 2⁹ = 133216969609 is a prime.

It is a super-2 number, since 2×133216970121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133216970123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97451380 + ... + 97452746.

Almost surely, 2^133216970121 is an apocalyptic number.

133216970121 is the 364989-th square number.

133216970121 is the 182495-th centered octagonal number.

It is an amenable number.

133216970121 is a deficient number, since it is larger than the sum of its proper divisors (61536376030).

133216970121 is an frugal number, since it uses more digits than its factorization.

133216970121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 133216970121 by its sum of digits (36), we get a square (4795810924356 = 2189934²).

The spelling of 133216970121 in words is "one hundred thirty-three billion, two hundred sixteen million, nine hundred seventy thousand, one hundred twenty-one".